THE AMAH TERAKSIN
(R. Noson): It was not determined if the Amah T'raksin was part of the Heichal or part of the Kodesh ha'Kodoshim.
Question (Ravina): Why assume that it was part of either; perhaps it was part of neither!?
If the measurements in the Pesukim are your indication (40 + 20 = 60) thus leaving us unsure where the Amah belongs...
Perhaps the Pesukim are describing interior spaces only, the Amah is part of neither.
This is supported by the Mishnah which counts the interior space (40 and 20) apart from the walls.
Answer: The doubt is rather about which Kedushah prevailed in the Amah Teraksin.
This is indicated by the doubt raised by R. Yosef Ish Hutzal.
He questioned how to divide the Pasuk "u'Devir be'Soch ha'Bayis mi'Penimah Heichin..."
Question: But Isi b. Yehudah taught only five ambiguous words in the Torah (and "mi'Penimah" is not one of them)?
The Beraisa identifies Isi b. Yehudah with Yosef Ish Hutzal.
It is thus he did not question "mi'Penimah"!?
Answer: There are no others in the Torah, but there are others in Nevi'im.
Question: But we find another ambiguous word in the Torah, "Parim", as reported by R. Chisda!?
Answer: This was R. Chisda's doubt, not shared by Isi b. Yehudah.
MISHNAH: THE ENTRY INTO THE KODESH HAKODOSHIM
The outer (Heichal) curtain was pinned (Perufah) outward at the South, and the inner one was Perufah from the North.
The Kohen Gadol walked between them until reaching the North.
Upon entry into the Kodesh ha'Kodoshim he turned South and walked with the Paroches to his left until the Aron.
Upon reaching the Aron he placed the Machtah with the coals between the Badim, piled the Ketores on the coals and (waited until) the room filled with smoke.
He reversed himself to leave.
He prayed briefly (so as not to arouse concern) in the Heichal.
THE KODESH HAKODOSHIM OF THE FIRST MIKDASH
Question: Of which Mikdash is the Mishnah speaking?
If the first, there was no Paroches!
If the second, there was no Aron (which, the Beraisa reports, was one of the items hidden by Yoshiyahu)!
The Beraisa lists and discusses the items placed in Genizah by Yoshiyahu.
R. Elazar cites the sources for each of the items (Tzintzenes, Shemen, Makel).
Answer: We are speaking of the Mikdash Sheini and he came not to the Aron but to its place.
Question: But the Mishnah speaks of between the Badim?!
Answer: It means as if it were...
PILING OR SPREADING THE KETORES
Our Mishnah supports the opinion that the Kohen Gadol piles (not spreads) the Ketores on the coals.
The Beraisos seem to contradict one another regarding upon which side of the Machtah he begins to pile the Ketores.
(Abaye): This is a Machlokes Tana'im and the cited Mishnah (wherein the Kohen Gadol is given instructions) seems to support the view that he began from the side away from himself.